All categories

2 years ago

Use the Pythagorean Theorem to answer the questions.

Mathematics

1 answer:

icang [17]2 years ago

7 0

Answer: a. Yes

Step-by-step explanation:

Let the opposite side =12

Let the adjacent side = 16

Let the hypotenuse side =20

Using the pythagoras theorem

we are going to prove that hypotenus is 20

opp² + adj² ⁼ hyp²

12² + 16² ⁼ hyp²

144 + 256 = hyp²

400 = hyp²

√400 =hyp

20= hyp

Therefore hypotenuse= 20

You might be interested in

Round the number 15.39624 to 2 decimal places

ivolga24 [154]

Answer:

answer is 15.40 because 9 is greater than 5 so 1 is carry over it .So answer is 15.40

7 0

2 years ago

A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

3 years ago

At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6

deff fn [24]

Answer:

Meyer bought 3 pounds of bananas

Step-by-step explanation:

6.94-4.99= 1.95

1.95 is how much spent on bananas, I know that bananas are .65 cents a pound so,

1.95/.65= 3

4 0

2 years ago

Someone please tell me what this is, the question is what is the slope of this line ?

AnnyKZ [126]

Answer:2/3

Step-by-step explanation:

rise/run. y=2 x=3

7 0

2 years ago

Read 2 more answers

What is -2•3x simplified?

Dmitriy789 [7]

Answer:

Multiply

3 by − 2 =− 6 x

Step-by-step explanation:

5 0

3 years ago